Shape Computation Lab

Find Indefinite Arcs in a Trefoil

Tzu-Chieh Kurt Hong


This example shows how Shape Machine is able to access any part of an arc of a shape and their combinations even though the queried parts are not registered in the database of CAD system (in this example: Rhinoceros 5.0). The first vignettes showcase the search of arrangements of poly arcs and lens shapes in an increasing spatial complexity in terms of number of lines and spatial relations to one another and to the whole. The final example showcase the successful search of an arbitrary part of the trefoil shape selected through a lasso operation to demonstrate the ability of the Shape Machine to find all matching copies under similarity transformations. A visual proof of the search is given in the end by marching the source shape with the missing part of the target shape.